On the K\"onigs function of semigroups of holomorphic self-maps of the unit disc

27 Apr 2018 Bracci Filippo Contreras Manuel D. Díaz-Madrigal Santiago

Let $(\phi_t)$ be a semigroup of holomorphic self-maps of~$\mathbb D$. In this note, we use an abstract approach to define the K\"onigs function of $(\phi_t)$ and "holomorphic models" and show how to deduce the existence and properties of the infinitesimal generator of $(\phi_t)$ from this construction...

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  • COMPLEX VARIABLES